Math 151, fall 2003: syllabus and suggested problems

This is the syllabus suggested by the department. You will be asked to hand in some textbook problems and some workshop problems. These will be specified in class and perhaps on the web. Exam times will be specified at least one week ahead.
• TEXTBOOK James Stewart, Calculus (Early Transcendentals) 5th edition, Brooks/Cole Publishing Co. This edition of the textbook differs in important ways from previous editions. Unfortunately the older editions won't be workable.
• CALCULATOR A graphing calculator is required for this course. No calculators will be permitted on the final exam.

Lecture Text Topics Suggested Problems
1 Appendices A,B,D;
1.1-1.5
Review of real numbers, absolute value, inequalities,
lines, functions, exponential and trig functions
App. A: 6, 7, 23, 28, 49, 52, 61, 62
App. B: 1, 7, 23, 25, 29, 35
App. D: 15, 19, 27, 31, 67, 74
1.1: 2, 7, 8, 19, 21, 22, 25, 38, 50, 51
1.2: 4, 11, 15, 16
1.3: 4, 5, 9, 16, 20, 23, 27, 36, 53
1.4: 1, 14, 15, 19, 25, 27
1.5: 11, 13, 17, 18, 22
2 Appendix D, 1.6 Inverse functions; logs and inverse trig functions 1.6: 6, 12, 14, 26, 27, 35, 38, 48, 49, 50, 52
3 2.1, 2.2 Tangents and velocity; limits 2.1: 1, 3, 6, 8
2.2: 5, 6, 8, 9, 14, 19, 23, 27, 28, 30, 31
4 2.3, 2.4 Limit laws and definition of limit 2.3: 1, 3, 6, 7, 10, 13, 20, 26, 29, 37, 38, 40, 47, 58
2.4: 1, 3, 4, 6, 7, 20, 41, 42
5 2.5 Continuity; Intermediate Value Theorem 2.5: 3, 4, 15, 16, 19, 20, 25, 26, 37, 40, 47, 50, 51
6 2.6 Infinity; asymptotes 2.6: 4, 11, 16, 18, 19, 23, 26, 39, 40, 55, 58
7 2.7, 2.8, 2.9 Rates of change; derivatives 2.7: 5, 8, 11, 12, 15
2.8: 3, 7, 11, 15, 16
2.9: 2, 4, 11, 22, 26, 33, 34, 37, 41
8 3.1, 3.2 Differentiation formulas; derivs of exponential functions 3.1: 5, 7, 13, 16, 20, 33, 39, 46, 51, 54, 57
3.2: 3, 4, 5, 8, 9, 20, 27, 41, 42
9 3.3, 3.4 Rates of change; derivatives of trig functions 3.3: 3, 8, 13, 18, 25, 31
3.4: 3, 5, 8, 10, 13, 16, 18, 23, 29, 35, 36, 39
10 3.5, 3.6 The chain rule; implicit differentiation 3.5: 1, 2, 9, 14, 15, 16, 21, 22, 25, 33, 35, 44, 47
3.6: 3, 9, 16, 29, 41-44, 47, 48
11 First exam (usual class time and place)
12 3.6, 3.7, 3.8 Derivs of logs and inverse trig functions; higher
derivs
3.7: 1, 5, 8, 11, 19, 20, 39, 48, 51, 57
3.8: 3, 4, 7, 8, 13, 15, 24, 25, 26, 32, 35, 38, 41
13 3.10 Related rates 3.10: 1, 6, 14, 23, 24, 31
14 3.11, 4.9 Linear approximation; Newton's Method 3.11: 5, 7, 10, 13, 32, 36, 42
4.9: 1, 5, 14, 36
15 4.4 L'Hôpital's Rule 4.4: 1, 2, 3, 7, 10, 15, 21, 22, 29, 36, 37, 38, 47, 53, 54, 68
16 4.1, 4.2 Max and min; the Mean Value Theorem 4.1: 3, 22, 34, 39, 46, 55, 61, 62, 65, 68, 77
4.2: 5, 11, 14, 17, 23, 24, 29
17 4.3 f´(x), f´´(x), and the graph of f 4.3: 1, 5, 7, 11, 21, 22, 31, 32, 33, 36, 37, 42, 45, 47
18 4.5, 4.6 Sketching graphs 4.5: 3, 18, 30, 35, 45, 48
4.6: 7, 14, 15, 26, 27
19 4.7 Applied max/min 4.7: 2, 9, 17, 22, 27, 33, 40, 56
20 4.10 Antiderivatives 4.10: 3, 10, 12, 15, 25, 28, 35, 40, 48, 53, 55, 60, 63
21 5.1, Appendix E Area; distance; sigma notation 5.1: 4, 11, 18, 21
App. E: 1, 6, 12, 14, 25, 30, 44
22 Second exam (usual class time and place)
23 5.2 The definite integral 5.2: 3, 5, 12, 23, 33, 34, 37, 38, 48, 49, 53, 54
24 5.3, 5.4 The Fundamental Theorem of Calculus 5.3: 2, 8, 11, 17, 18, 25, 30, 31, 35, 37, 68
5.4: 1, 2, 5, 7, 8, 10, 11, 18, 19, 22, 29, 30, 38, 47, 54, 55
25 5.5 Substitution rule 5.5: 1, 3, 4, 5, 10, 12, 19, 20, 21, 25, 32, 44, 51, 53, 58, 63, 66, 68
26 6.1 Computation of areas 6.1: 1, 2, 3, 4, 9, 14, 17, 18, 43, 44, 45
27 5.6 Logarithm defined as an integral 5.6: 1, 3
28 Catch up or review for final exam